Industrial location? Probably strong enough in direct tension, (apart from the dubious fix with a couple of clout nails), but there's no lateral restraint. Is this strap galvanised steel or plastic?The floor joists look on the thin side too. They look like floorboarding laid on edge! The risk here is joists 'rolling'. No herring-bone struts visible to counter this.

Alan- The location was a government office. Everything you see was concealed above a suspended ceiling. The wood joists are actually 2x12's (actual measure more like 1 1/2 x 10 1/2 inches) used as rafters to support the roof. To the right, you can just make out the solid wood blocking, used as lateral bracing between the rafters. It's not obvious in the pic, but there is a significant slope to these rafters. Let's just say that this "flat" roof has enough slope you don't need to worry about water forming puddles!

The "plumbers' tape" is galvanised steel, of a gauge just a little too heavy to be easily cut by your diagonal cutters, but easilt cut with aviation snips. (Maybe 18 gauge?)

Rono; My apologies! My dopey old brain read that as one pic showing 2 floors at a landing! Duh! Lumber of those dimensions is not readily obtainable off the shelf at a builders' merchants in thr UK or Fr., I thought they were about 1x8

Runs should be parallel and purpendicular to the building. The strapping is not legal in my area due to the quake zone I live in, but what moron would use that material to support any conduit run anyway.A good quake would take it out. Or, if you were working in that cieling, lost your balance, grabbed that run to balance yourself it would come down.